Briefly describe the content of elementary mathematics from a high point of view
Felix Klein was the founder of the Gottingen School, the most influential mathematics school in the world at the end of 19 and the beginning of the 20th century. He is not only a great mathematician, but also the founder of modern international mathematics education, an outstanding mathematical historian and educator, and enjoys a high reputation and great influence in the field of mathematics.
Klein thinks that function is the "soul" of mathematics. It should be the "cornerstone" of middle school mathematics. The concept centered on function integrates the contents of arithmetic, algebra and geometry through geometric forms. It emphasizes the need to transform the traditional middle school mathematics content with the viewpoint of modern mathematics, advocates strengthening the teaching of function and calculus, reforming and enriching the content of algebra, and advocates the consciousness of "thinking highly of elementary mathematics".
In Klein's view, the duty of a math teacher is to "make students understand that mathematics is not an isolated subject, but an organic whole"; Teachers of basic mathematics should look at the grip difference from a higher angle (advanced mathematics). To understand elementary mathematics problems, only when the viewpoint is high can things be clear and simple; A qualified teacher should master or understand the concepts and methods of mathematics, the process of its development and perfection, and the evolution of mathematics education.
He believes that "one branch per foot should be regarded as the representative of the whole mathematics in principle" and that "many phenomena in elementary mathematics can only be deeply understood within the non-elementary theoretical structure".
This book has a good enlightening effect on readers engaged in mathematics learning and education in China. In the words of Mr. Wu Daren, a mathematician and educator in China, one of the translators of this book, "Anyone who has a certain understanding of mathematics can get lessons and inspiration from it", this book still feels very cordial to read. This is because its content is mainly basic mathematics, and its viewpoint contains truth ... "。